The number 5588
5588 is a composite number with 12 divisors. Its prime factorisation is × 11 × 127. Divisors (12): 1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5588 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5588 is composite. Its prime factorisation is
- 3
The divisors add up to 10752; without 5588 itself that is 5164, so 5588 is deficient (5164 is less than 5588). Euler's totient φ(5588) = 2520 numbers up to 5588 share no factor with it.
- 4
The digits of 5588 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5588 = 2^{2} \times 11 \times 127 \]5588 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10752 |
| Euler totient φ(n) | 2520 |
| Square | 31225744 |
| Cube | 174489457472 |
| Square root | 74.752926 (= 2√1397) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 36 |
| Scientific notation | 5.588 × |
5588 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and eighty-eight |
| Binary (base 2) | 1010111010100 |
| Octal (base 8) | 12724 |
| Hexadecimal (base 16) | 15D4 |
| Base 3 | 21122222 |
| As time | 5588 seconds = 1 h 33 min 8 s |
Is 5588 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5588 ÷ 2 = 2794) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5588 ÷ 4 = 1397) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5588 ÷ 11 = 508) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5588 a prime number?
No. 5588 = × 11 × 127, so it is divisible by 2.
What are the factors of 5588?
1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588.
What is 5588 in binary?
1010111010100 (hexadecimal 15D4, octal 12724).
What is the square root of 5588?
About 74.7529, exactly 2√1397.
Is 5588 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 5588?
It is a composite number with 12 divisors.